Polar-Fourier-Transform

  基于MATLAB实现了极坐标下的傅里叶变换，对一个给定 n×n 的二维信号，其计算复杂度等价于笛卡尔坐标下的2D-FFT，可广泛应用于图像处理和分析。(A fast high accuracy Polar FFT algorithm is given in the software package written in MATLAB. For a given 2D signal of size n×n, the algorihtm s complexity is just like in a Cartesian 2D-FFT, which can be used widely in image processing and analysis.)

Polar Fourier Transform
.......................\AFTUSF_NGP_1.m,7574,2005-02-28
.......................\AFTUSF_Spline_1.m,10837,2005-02-28
.......................\APPFFT.m,1796,2005-03-03
.......................\A_Content.m,11716,2012-04-17
.......................\Bilinear_Interp_Matrix.m,2661,2005-02-28
.......................\Brute_Force_Transform.m,1946,2005-05-08
.......................\Cartesian_2_Polar.m,4580,2005-02-28
.......................\Compare_Bilinear_Interpolations.m,2165,2005-02-28
.......................\Comparison_1_USFT_vs_Polar.m,6782,2005-05-08
.......................\Comparison_2_USFT_vs_Polar.m,7753,2005-05-09
.......................\Comparison_3_USFT_vs_Polar.m,4992,2005-05-08
.......................\Comparison_4_Polar_Corner.m,1734,2005-03-01
.......................\Create_Figures_For_paper.m,9860,2005-05-09
.......................\Create_Grid.m,8772,2005-02-28
.......................\Create_Oversampled_Grid.m,5098,2005-02-28
.......................\Debug_interp_SPLINE.m,1536,2005-03-01
.......................\Debug_XPolar_FFT.m,4682,2005-02-28
.......................\Disk_Relative_Energy.m,1004,2005-03-01
.......................\Distance_from_Grid.m,2457,2005-03-01
.......................\Distinct.m,890,2005-02-28
.......................\Error_Analysis_1.m,8818,2005-02-28
.......................\Error_Analysis_2.m,7504,2005-02-28
.......................\Error_Analysis_3.m,3733,2005-02-28

.......................\Grid_Evolution.m,4493,2005-02-28
.......................\interp_SPLINE.m,3972,2005-05-08
.......................\IPPFFT.m,2636,2006-11-15
.......................\lena.tif,262342,2005-05-08
.......................\My_FRFT.m,984,2005-02-28
.......................\My_FRFT_Centered.m,1060,2005-02-28
.......................\PFFT.m,5253,2005-03-03
.......................\Polar_Transform_New.m,4777,2005-02-28
.......................\PPFFT.m,3714,2005-03-06
.......................\Pseudo_Polar_Evolution.m,10278,2005-02-28
.......................\Ray_Behavior.m,4009,2005-02-28
.......................\RectoPolar_Trans_Adjoint.m,9902,2005-02-28
.......................\RectoPolar_Trans_New.m,3493,2005-02-28
.......................\SPolar_Transform.m,7948,2005-02-28
.......................\Test_FRFT.m,3256,2005-02-28
.......................\Transform_Matrix.m,2102,2005-02-28
.......................\XPolar_Transform.m,8002,2005-05-08